What are the solutions to the equation a^2=asqrt(5) ?

The solutions to the equation a^2=asqrt(5) are a=sqrt(5),a=0

Find the zeros of a^2=asqrt(5)

The zeros of a^2=asqrt(5) are a=sqrt(5),a=0

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a^{2} = a 5

a = 5, a = 0

Decimal Notation

a = 2.23606 \dots, a = 0

Solution steps

a^{2} = a 5

Move

a 5

to the left side

a^{2} - a 5 = 0

Write in the standard form

a x^{2} + b x + c = 0

a^{2} - 5 a = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

(- 5)^{2} - 4 \cdot 1 \cdot 0 = 5

a_{1, 2} = \frac{- ( - 5 ) \pm 5}{2 \cdot 1}

Separate the solutions

a_{1} = \frac{- ( - 5 ) + 5}{2 \cdot 1}, a_{2} = \frac{- ( - 5 ) - 5}{2 \cdot 1}

a = \frac{- ( - 5 ) + 5}{2 \cdot 1} : 5

a = \frac{- ( - 5 ) - 5}{2 \cdot 1} : 0

The solutions to the quadratic equation are:

a = 5, a = 0

x, 2 x^{2} + 2 y^{2} + 4 x + 2 y + 10 = 0

3 x^{2} - 6 x = 0

- 6 x - 2 = (3 x + 1)^{2}

40 - 9 x^{2} + 4 x + 4 - 12 - 4 x + 30 x^{2} + 30 x = 0

\frac{1}{3} a^{2} + a = 0

What are the solutions to the equation a^2=asqrt(5) ?
The solutions to the equation a^2=asqrt(5) are a=sqrt(5),a=0
Find the zeros of a^2=asqrt(5)
The zeros of a^2=asqrt(5) are a=sqrt(5),a=0